What is the Least Common Multiple of 76576 and 76590?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 76576 and 76590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76576 and 76590, than apply into the LCM equation.

GCF(76576,76590) = 2
LCM(76576,76590) = ( 76576 × 76590) / 2
LCM(76576,76590) = 5864955840 / 2
LCM(76576,76590) = 2932477920

Least Common Multiple (LCM) of 76576 and 76590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76576 and 76590. First we will calculate the prime factors of 76576 and 76590.

Prime Factorization of 76576

Prime Factorization of 76590

Now multiplying the highest exponent prime factors to calculate the LCM of 76576 and 76590.

LCM(76576,76590) = 2⁵ × 2393¹ × 3² × 5¹ × 23¹ × 37¹
LCM(76576,76590) = 2932477920